35. Aaron wants to find an function that relates the price of a pizza to its size. He knows that this function need s to be non- linear. Which function below should he use?
A. y=4piex
B. y=pie(x-3)
C. y=pie(x-3)^2
D. y=pie(x-3)^2+3(x+7)
To determine which function Aaron should use to relate the price of a pizza to its size, we need to consider the requirement of a non-linear function.
A non-linear function is any function that does not have a straight line as its graph. In other words, as the input (x) changes, the output (y) does not change at a constant rate.
Let's analyze each function:
A. y = 4πex
This function contains an exponential term (e^x), making it non-linear.
B. y = πe(x-3)
This function is also non-linear because the variable x is inside the parentheses, affecting the entire function.
C. y = π(x-3)^2
This function contains a quadratic term [(x-3)^2], making it non-linear.
D. y = π(x-3)^2 + 3(x+7)
This function is a combination of a quadratic term and a linear term, making it non-linear.
From the given options, Aaron should use function C, y = π(x-3)^2, since it is the only non-linear function listed.
To summarize, for the price of a pizza to size relationship, Aaron should use the function y = π(x-3)^2, as it meets the non-linear requirement.